from [1]}, and
\(\int _0^\infty K_\mu (x) K_\nu (x) x^{s} \frac{dx}{x}= 2^{-3+s} \frac{\Gamma \left(\frac{s+\mu +\nu }{2}\right)\Gamma \left(\frac{s-\mu +\nu }{2}\right)\Gamma \left(\frac{s+\mu -\nu }{2}\right)\Gamma \left(\frac{s-\mu -\nu }{2}\right)}{\Gamma (s)}.\) 
